Kelas b Kelompok 7 Metode Vogel_s

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    KELOMPOK 7

    NAMA KELOMPOK :1. PINKY PRICILIA

    2. SITI ELOK FAIQOH

    3. SUCI WULANDARI

    4. YOPI HERDIANA

    MATEMATIKA B/ SMT.V

    SOAL DAN PEMBAHASAN METODE VOGELS (VAM)

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    D!,* A1"% R2 > 1 $#(

    D!,* A1"% R3 > 2 $#(

    D!,* A2"% R1 > 3 $#(

    D!,* A2"% R3 > $#(

    D!,* A3"% R2 > 3 $#(

    D!,* A3"%%+*!( > $#(9&! > 11 $#(

    A(0"! * !$!- !!! )!(0 !,- *!(0"$ -%!(0"!( '%,-%*!!( '!!

    -&+%, +!!( +!(0(!( A3$%,-*-! $#(.

    B*!)! -%, '%(0!(0"$!( +!!( +!(0(!( !,* $%&'!$ !-! "% $%&'!$ ,%!

    %-$!$% !'!$ *()!$!"!( -%+!0!* +%,*"$:

    D!,* A1"% R2 > 1 21 > R'. 3.1

    D!,* A1"% R3 > 2 24 > R'. 4.6

    D!,* A2"% R1 > 3 16 > R'. 5.3

    D!,* A2"% R3 > 21 > R'. 1.

    Asal

    Tujuan

    22

    150

    21

    200

    2 0

    350

    18 19

    50

    2 0

    30

    350

    22 36

    50

    022

    3

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    D!,* A3"% R2 > 3 22 > R'. 7.7

    D!,* A3RD > 2 > R'.

    9&! > R'. 23..

    M!"! =&! +*!)! -%, '%(0!(0"$!( +!!( +!(0(!( !,* $%&'!$ !-! "%

    $%&'!$ ,%! %-$!$% !!! R'. 23...

    7. P%,-!!!( -%'!$ S'#,$) &%&'%,#% #,%, !,* 5 *-$,*+$#,()! )!*$

    FHI9!( K. D!!& &%&%(* #,%, '%!(00!(()! *(* '%,-!!!(

    +%,%(;!(! &%(0*,*&"!( !()! )!(0 +%,!-! !,* '!+,*" !,* 6 '!+,*" )!(0

    *&**"*()!. A!'( "% '!+,*" $%,-%+$ !!! ABCD !( E %(0!(

    "!'!-*$!- &!-*(0&!-*(0 21274!( 3. A!'( +*!)!

    '%(0*,*&!( )!(0 *!(00!,"!( !!! :

    F H I 9

    K

    A

    B

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    E

    2 1 4 2

    1 16 3 2 3

    3

    2 2 2 3 44

    4 3 4 2 1

    2

    2 3 3 4

    P%,&*($!!( &!-*(0&!-*(0 *-$,*+$#,()! !!! 3 2 17 2 2

    !( 1.

    a. Lakukan pendistribusian dengan menggunakan metode A!

  • 7/24/2019 Kelas b Kelompok 7 Metode Vogel_s

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    " # $ % & ' (

    A 920

    15

    40

    25

    50

    50

    2

    00 5 5 5 5 5 5

    200

    )15

    18

    35 2

    20

    35

    30

    150 3 3 3 3 3 3

    15

    0

    *10

    25

    20 1

    25

    35 6

    40

    45

    2+5 5 5 5 5 5 5

    50

    1+5

    50

    ,40

    30

    40 3

    20 5

    15 4

    20

    400 5 5 5

    15

    10

    10

    50

    200

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    35

    30

    40

    50

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    15

    15

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    25

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    ,

    3

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    1

    +5

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    2

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    1

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    13

    25

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    15

    20

    15

    15

    20

    15

    20

    15

    15

    15

    20

    15

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    1 1

  • 7/24/2019 Kelas b Kelompok 7 Metode Vogel_s

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    5 51

    5

    1

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    M%(0*$(0 B*!)! '%(*-$,*+-*!(

    Y > 17 28 1 28 28 1 28 2 18 48 2 28 8

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    S%$%! &%!* '%(%*$*!( --(!( $!+% $,!(-'#,$ )!(0 !)!" !'!$ !!!

    -%+!0!* +%,*"$:

    T1 T2 T3 T4 P%,-%*!!( P%(!$*

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    A2

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    A4 2

    A-!

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    20 30 100 +0

    10 50 60

    90

    10

    50 80 15

    30 40 +0 60

  • 7/24/2019 Kelas b Kelompok 7 Metode Vogel_s

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    K%+$!( 7 5 3 5 22

    P%(!$*

    P%,-#!!(:

    1. T%($"!( +!!( '#"#" &!"!(!( !,* $%&'!$ !! "% $%&'!$ $=!(

    '%()!,!(

    2. H*$(0 =&! +*!)! $,!(-'#,$ !,* "%-%,!( *-$,*+-* +!!( '#"#"

    &!"!(!( $%,-%+$S#-*:

    P%,*$(0"!( $!+% $,!(-'#,$ )!(0 -! %(0"!' '%(0*-*!(()! -%+!0!* +%,*"$:

    T1 T2 T3 T4 P%,-%*!!( P%(!$*

    A1 5 1 1 1

    1

    A2

    A3 6 3 3 3

    A4 2 1 1 1

    1

    K%+$!( 7 5 3 5 22

    P%(!$* 1

    1

    1

    1

    1

    1

    4

    D!,* '%,*$(0!( &%$#% J#0%G- '!! $!+% $,!(-'#,$!-* *'%,#%:

    1. D!,* $%&'!$ !-! * P! 9!

    D!,* A1"% T1 > 2 $#(

    A-!

    T=!(

    20

    200

    30

    400

    100 +0

    50

    10 50 60

    550

    10

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    80 15

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  • 7/24/2019 Kelas b Kelompok 7 Metode Vogel_s

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    D!,* A1"% T2 > 4 $#(

    D!,* A2"% T4 > $#(

    D!,* A3 "% T1 > $#(

    D!,* A3"% T3 > 3 $#(

    D!,* A4"% T2 > 2 $#(

    D!,* A4"% T4 > $#(

    9&! > 22 $#(

    2. K%-%,!( +*!)! *-$,*+-* +!!( &!"!(!( '#"#" *(* !'!$ *()!$!"!(

    -%+!0!* +%,*"$:

    A1T1>2 2 > R'. 4.

    A1T2>4 3 > R'. 12.

    A2T4> 1 > R'. . A3T1> > R'. 2.

    A3T3>3 1 > R'. 4.

    A4T2>2 4 > R'. 6.

    A4T4> 5 > R'. 3.

    9&! > R'. 52.

    M!"! =&! +*!)! *-$*+-* +!!( &!"!(!( '#"#" !!! R'. 5.2.

    ?. P%,-!!!( !*, &*(%,! *(0*( &%(*-$,*+-*"!( ',#" $%,+!,()! "%

    %&'!$ !0%( )!(0 &%(=!* '%!(00!( '%,-!!!( !*, &*(%,! $%,-%+$ !(

    *(0*( &%(*-$,*+-*"!(()! "% +%+%,!'! "#$! * I(#(%-*! %(0!( +*!)!

    !$!, "%'!! '!,! !0%( * *$(0 %(0!( =!,!" $%&'!$ !0%( $%,-%+$ -%$*!'

    '%, 0!#(()!. B%,*"$ +*!)! '%(0*,*&!( ',#" $%,-%+$ !!& +%($"

    ,'*!R'8:

    Ta.el ,6* Data Tran"prta"i

    K%

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    C*%0#( K(*(0!( B!((0 P!!(0 Supply

    A0%( 1 11 ? ? 7 53

    A0%( 2 6 7 12 6 47

    A0%( 3 ? 1 5 11 4

  • 7/24/2019 Kelas b Kelompok 7 Metode Vogel_s

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    A0%( 4 7 6 7 ? 5

    Demand 2 5 53 23

    S%%-!*"!( %(0!( &%(00(!"!( M%$#% A',#"-*&!-* V#0% VAM8

    M%$#% !',#"-*&!-* J#0% !!! &%,'!"!( &%$#% )!(0 '!*(0 +!*" !,*

    $*(0"!$ "%$%*$*!(()!. A!'( '%,*$(0!( &!(! %(0!( &%(00(!"!( &%$#%

    !',#"-*&!-* J#0% !!! -%+!0!* +%,*"$:

    Ta.el ,6- Metde Apr!"ima"i Vgel (VAM)

    7e

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    C*%0#( K(*(0!( B!((0 P!!(0 Supply Penalty

    A0%( 1 11 ? ? 7 53 1 1 1 1

  • 7/24/2019 Kelas b Kelompok 7 Metode Vogel_s

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    53

    A0%( 2 6 7

    47

    12 6 47 7

    A0%( 3 ? 1 5

    4

    11 4 3

    A0%( 4 7

    2

    6

    7

    7

    ? 5 1 6

    Demand 2 5 53 23

    Penalty 1 1 1

    1 1 2

    1 1

    1

    1

    > 2784778768458785378

    > 354352537342412472

    > R'.1.52.

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    P%,*$(0!( &!(! %(0!( &%(00(!"!( &%$#%Metode Aproksimasi Vogel

    +*!)! '%(*-$,*+-*!( !*, &*(%,! !,* '!+,*" !*, &*(%,! "%'!! %&'!$ !0%( )!(0

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    1. S%#,!(0 '%(0-!! +%,%(;!(! &%(0*,*&"!( +!,!(0 ',#"-*()! "%

    +%+%,!'! ,%$!*%, )!(0 !! * +%+%,!'! "#$! )!*$ : 9%&+%, L&!=!(0 !(

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    OPPRTUNITY COST

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    18 14

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    "75 # 0$ % "375 # 14$ %"200 # 16$ % "150 # 20$ %"50 # 18$ % "75 # 1$ %"25 # 18$

    ! 0 % 5250 %

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  • 7/24/2019 Kelas b Kelompok 7 Metode Vogel_s

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    ! 14&225

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  • 7/24/2019 Kelas b Kelompok 7 Metode Vogel_s

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